Quantum nonlocality test for continuous-variable states with dichotomic observables
Quantum nonlocality test for continuous-variable states with dichotomic observables
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DOI：
10.1103/physreva.67.012106
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发表时间：
2003-01-01
影响因子：
2.9
通讯作者：
Brukner, C
中科院分区：
文献类型：
--
作者：
Jeong, H;Son, W;Brukner, C
关于连续变量的量子非定域性，已经有了基于二分观测的理论和实验研究。特别是，我们对连续变量光场的两种情况感兴趣：一种情况是奇偶光子数，另一种情况是没有光子和光子的存在。我们分析了各种可观测量，给出了连续变量状态下贝尔不等式的最大违反。我们讨论了对于任何纠缠的纯连续变态，给出了违反Bell不等式的一个可观测量。然而，它不一定非要是最大纠缠态才能最大限度地违反贝尔不等。这归因于一个普遍的问题，即使用二分可观测性来测试无限维态的量子非局域性。
There have been theoretical and experimental studies on quantum nonlocality for continuous variables, based on dichotomic observables. In particular, we are interested in two cases of dichotomic observables for the light field of continuous variables: One case is even and odd numbers of photons and the other case is no photon and the presence of photons. We analyze various observables to give the maximum violation of Bell's inequalities for continuous-variable states. We discuss an observable which gives the violation of Bell's inequality for any entangled pure continuous-variable state. However, it does not have to be a maximally entangled state to give the maximal violation of Bell's inequality. This is attributed to a generic problem of testing the quantum nonlocality of an infinite-dimensional state using a dichotomic observable.